Use the table to answer the question.

Plays winter sports Does not play winter sports Totals
Colorado 103 35 138
Nebraska 54 95 149
Total 157 130 287
Based on the two-way frequency table, what is the marginal relative frequency of people who play winter sports? Round your answer to the nearest whole percentage.

(1 point)
percent

1 answer

To find the marginal relative frequency of people who play winter sports, we will use the total number of people who play winter sports relative to the overall total number of people surveyed.

From the table, the total number of people who play winter sports is 157. The overall total number of people surveyed is 287.

Now we can calculate the marginal relative frequency as follows:

\[ \text{Marginal Relative Frequency} = \left( \frac{\text{Total who play winter sports}}{\text{Total surveyed}} \right) \times 100 \]

\[ \text{Marginal Relative Frequency} = \left( \frac{157}{287} \right) \times 100 \approx 54.74% \]

Rounding to the nearest whole percentage gives us:

\[ \text{Marginal Relative Frequency} \approx 55% \]

Thus, the marginal relative frequency of people who play winter sports is 55 percent.